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Finding the Fourth Proportional to 499.47, 748.91 and 191.13

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Solution

The fourth proportional to 499.47, 748.91 and 191.13 is: 286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.47 : 748.91 = 191.13 : x
  2. Step 2: Convert to fraction form
    499.47/748.91 = 191.13/x
  3. Step 3: Cross multiply
    499.47x = 748.91 × 191.13
  4. Step 4: Simplify right side
    499.47x = 143,136.84
  5. Step 5: Solve for x
    x = 143,136.84/499.47
  6. Step 6: Final answer
    x = 286.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.